108850542768000 has 4096 divisors, whose sum is σ = 485028311040000. Its totient is φ = 23682613248000.

The previous prime is 108850542767977. The next prime is 108850542768001. The reversal of 108850542768000 is 867245058801.

108850542768000 is a `hidden beast` number, since 10 + 8 + 8 + 5 + 0 + 542 + 7 + 6 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108850542768001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 227245391761 + ... + 227245392239.

It is an arithmetic number, because the mean of its divisors is an integer number (118415115000).

Almost surely, 2^{108850542768000} is an apocalyptic number.

108850542768000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108850542768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242514155520000).

108850542768000 is an abundant number, since it is smaller than the sum of its proper divisors (376177768272000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

108850542768000 is a wasteful number, since it uses less digits than its factorization.

108850542768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 108850542768000 in words is "one hundred eight trillion, eight hundred fifty billion, five hundred forty-two million, seven hundred sixty-eight thousand".